Algebra EOC 2024

Front

Factor the quadratic expression: x^2 - 2x - 15

Back

(x - 5)(x + 3)

Front

What is the vertex of the quadratic function: x^2 + 4x - 21?

Back

(-2, -25)

Front

Factor the expression: r^2 - 16r + 60

Back

(r - 6)(r - 10)

Front

Solve the equation using the quadratic formula: ax^2 + bx + c = 0

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Find the vertex of the parabola given by the equation: y = 3(x + 5)^2 - 4

Back

(-5, -4)

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c

Front

Define the term 'discriminant' in the context of quadratic equations.

Back

The discriminant is the value of b² - 4ac, which determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

The quadratic equation has two distinct real roots.

Front

What does it mean if the discriminant is zero?

Back

The quadratic equation has exactly one real root (a repeated root).

Front

What does it mean if the discriminant is negative?

Back

The quadratic equation has no real roots (the roots are complex).